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most citedA Summation of Series Involving Bessel Functions and Order Derivatives of Bessel Functions

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math.AP2024

Operator dependent para-controlled calculus, periodic homogenisation and singular PDEs

Yilin Chen, Weijun Xu

We develop a variant of the para-controlled distributions framework based on operator dependent (generalised) Besov spaces. These spaces were introduced by Kerkyacharian-Petrushev…

math.AP2024

Periodic homogenisation for two dimensional generalised parabolic Anderson model

Yilin Chen, Benjamin Fehrman, Weijun Xu

We consider the periodic homogenisation problem for the generalised parabolic Anderson model on the two dimensional torus. We show that, for the renormalisation that respects Wick…